Regarding men and women, a study by the Think Tank Demos found that received male celebrities, politicians and journalists received 150 percent more harassment than women in similar positions. A study by Pew found that “13 percent of female respondents and 11 percent of male respondents said they had been harassed or stalked online.” Another study by Pew found that while women were more likely to be sexually harassed and stalked online, men were more likely to be insulted or to receive death threats.

"Broken down by party and gender, male Conservative candidates were the group who received the highest percentage of abuse in their mentions, followed by male UKIP and Labour candidates, and female Conservative candidates. Analysis by a research team from the University of Sheffield based on tweets from the general public; replying to tweets made by MPs, candidates at the election and other prominent politicians. They sampled just under 840,000 tweets sent in the month before the general election between 8 May 2017 and 8 June 2017."

And it's not close. Conservative male MPs received over twice as many abusive mentions than liberal female MPs. I guess there's another mainstream media narrative up in flames.